{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import libraries necessary for this project\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        crim    zn  indus  chas    nox     rm   age     dis  rad  tax  \\\n",
      "0    0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296   \n",
      "1    0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242   \n",
      "2    0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242   \n",
      "3    0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222   \n",
      "4    0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222   \n",
      "..       ...   ...    ...   ...    ...    ...   ...     ...  ...  ...   \n",
      "501  0.06263   0.0  11.93     0  0.573  6.593  69.1  2.4786    1  273   \n",
      "502  0.04527   0.0  11.93     0  0.573  6.120  76.7  2.2875    1  273   \n",
      "503  0.06076   0.0  11.93     0  0.573  6.976  91.0  2.1675    1  273   \n",
      "504  0.10959   0.0  11.93     0  0.573  6.794  89.3  2.3889    1  273   \n",
      "505  0.04741   0.0  11.93     0  0.573  6.030  80.8  2.5050    1  273   \n",
      "\n",
      "     ptratio       b  lstat  medv  \n",
      "0       15.3  396.90   4.98  24.0  \n",
      "1       17.8  396.90   9.14  21.6  \n",
      "2       17.8  392.83   4.03  34.7  \n",
      "3       18.7  394.63   2.94  33.4  \n",
      "4       18.7  396.90   5.33  36.2  \n",
      "..       ...     ...    ...   ...  \n",
      "501     21.0  391.99   9.67  22.4  \n",
      "502     21.0  396.90   9.08  20.6  \n",
      "503     21.0  396.90   5.64  23.9  \n",
      "504     21.0  393.45   6.48  22.0  \n",
      "505     21.0  396.90   7.88  11.9  \n",
      "\n",
      "[506 rows x 14 columns]\n"
     ]
    }
   ],
   "source": [
    "bos1= pd.read_csv(\"BostonHousing.csv\")\n",
    "print(bos1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "x= bos1.iloc[:,0:13]\n",
    "y = bos1[\"medv\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# code to plot correlation\n",
    "\n",
    "#library to establish correlation\n",
    "import seaborn as sns\n",
    "names= []\n",
    "\n",
    "# creating a correlation matrix\n",
    "correlations = bos1.corr()\n",
    "sns.heatmap(correlations,square=True,cmap= \"YlGnBu\")\n",
    "plt.yticks(rotation=0)\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()       # 1.0 value gives perfect correlation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_boston\n",
    "boston_dataset = load_boston()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1.0</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31   0.0  0.538  6.575  65.2  4.0900  1.0  296.0   \n",
       "1  0.02731   0.0   7.07   0.0  0.469  6.421  78.9  4.9671  2.0  242.0   \n",
       "2  0.02729   0.0   7.07   0.0  0.469  7.185  61.1  4.9671  2.0  242.0   \n",
       "3  0.03237   0.0   2.18   0.0  0.458  6.998  45.8  6.0622  3.0  222.0   \n",
       "4  0.06905   0.0   2.18   0.0  0.458  7.147  54.2  6.0622  3.0  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  \n",
       "0     15.3  396.90   4.98  \n",
       "1     17.8  396.90   9.14  \n",
       "2     17.8  392.83   4.03  \n",
       "3     18.7  394.63   2.94  \n",
       "4     18.7  396.90   5.33  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# boston_dataset.DESCR\n",
    "# The prices of the house indicated by the variable MEDV is our target variable and the remaining are the feature variables based on which we will predict the value of a house.\n",
    "boston = pd.DataFrame(boston_dataset.data, columns=boston_dataset.feature_names)\n",
    "boston.head()      # We can see that the target value MEDV is missing from the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "boston['MEDV'] = boston_dataset.target   # We create a new column of target values and add it to the dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "CRIM       0\n",
       "ZN         0\n",
       "INDUS      0\n",
       "CHAS       0\n",
       "NOX        0\n",
       "RM         0\n",
       "AGE        0\n",
       "DIS        0\n",
       "RAD        0\n",
       "TAX        0\n",
       "PTRATIO    0\n",
       "B          0\n",
       "LSTAT      0\n",
       "MEDV       0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Data Preprocessing\n",
    "#  We count the number of missing values for each feature using isnull()\n",
    "boston.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 842.4x595.44 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Exploratory Data Analysis is a very important step before training the model.\n",
    "# we will use some visualizations to understand the relationship of the target variable with other features.\n",
    "# plot the distribution of the target variable MEDV. We will use the distplot function from the seaborn library.\n",
    "sns.set(rc={'figure.figsize':(11.7,8.27)})\n",
    "sns.distplot(boston['MEDV'], bins=30)\n",
    "plt.show()\n",
    "# We see that the values of MEDV are distributed normally with few outliers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f9134f4b970>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 842.4x595.44 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# we create a correlation matrix that measures the linear relationships between the variables.\n",
    "# The correlation matrix can be formed by using the corr function from the pandas dataframe library.\n",
    "# We will use the heatmap function from the seaborn library to plot the correlation matrix.\n",
    "correlation_matrix = boston.corr().round(2)\n",
    "# annot = True to print the values inside the square\n",
    "sns.heatmap(data=correlation_matrix, annot=True)\n",
    "\n",
    "# The correlation coefficient ranges from -1 to 1. If the value is close to 1, it means that there is a strong positive correlation between the two variables. \n",
    "# When it is close to -1, the variables have a strong negative correlation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# To fit a linear regression model, we select those features which have a high correlation with our target variable MEDV.\n",
    "# By looking at the correlation matrix we can see that RM has a strong positive correlation with MEDV (0.7) where as LSTAT has a high negative correlation with MEDV(-0.74).\n",
    "# The features RAD, TAX have a correlation of 0.91. These feature pairs are strongly correlated to each other.\n",
    "# Based on the above observations we will take RM and LSTAT as our features. \n",
    "# Using a scatter plot let’s see how these features vary with MEDV.\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "\n",
    "features = ['LSTAT', 'RM']\n",
    "target = boston['MEDV']\n",
    "\n",
    "for i, col in enumerate(features):\n",
    "    plt.subplot(1, len(features) , i+1)\n",
    "    x = boston[col]\n",
    "    y = target\n",
    "    plt.scatter(x, y, marker='o')\n",
    "    plt.title(col)\n",
    "    plt.xlabel(col)\n",
    "    plt.ylabel('MEDV')\n",
    "    \n",
    "# The prices increase as the value of RM increases linearly. \n",
    "# There are few outliers and the data seems to be capped at 50.\n",
    "# The prices tend to decrease with an increase in LSTAT. \n",
    "# Though it doesn’t look to be following exactly a linear line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Preparing the data for training the model\n",
    "# We concatenate the LSTAT and RM columns using np.c_ provided by the numpy library.\n",
    "X = pd.DataFrame(np.c_[boston['LSTAT'], boston['RM']], columns = ['LSTAT','RM'])\n",
    "Y = boston['MEDV']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(404, 2)\n",
      "(102, 2)\n",
      "(404,)\n",
      "(102,)\n"
     ]
    }
   ],
   "source": [
    "# Splitting the data into training and testing sets\n",
    "# We train the model with 80% of the samples and test with the remaining 20%.\n",
    "# To split the data we use train_test_split function provided by scikit-learn library.\n",
    "# We finally print the sizes of our training and test set to verify if the splitting has occurred properly.\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size = 0.2, random_state=5)\n",
    "print(X_train.shape)\n",
    "print(X_test.shape)\n",
    "print(Y_train.shape)\n",
    "print(Y_test.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# We use scikit-learn’s LinearRegression to train our model on both the training and test sets.\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "lin_model = LinearRegression()\n",
    "lin_model.fit(X_train, Y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The model performance for training set\n",
      "--------------------------------------\n",
      "RMSE is 5.6371293350711955\n",
      "R2 score is 0.6300745149331701\n",
      "\n",
      "\n",
      "The model performance for testing set\n",
      "--------------------------------------\n",
      "RMSE is 5.13740078470291\n",
      "R2 score is 0.6628996975186954\n"
     ]
    }
   ],
   "source": [
    "# model evaluation for training set\n",
    "y_train_predict = lin_model.predict(X_train)\n",
    "rmse = (np.sqrt(mean_squared_error(Y_train, y_train_predict)))\n",
    "\n",
    "from sklearn.metrics import r2_score\n",
    "r2 = r2_score(Y_train, y_train_predict)\n",
    "\n",
    "print(\"The model performance for training set\")\n",
    "print(\"--------------------------------------\")\n",
    "print('RMSE is {}'.format(rmse))\n",
    "print('R2 score is {}'.format(r2))\n",
    "print(\"\\n\")\n",
    "\n",
    "# model evaluation for testing set\n",
    "y_test_predict = lin_model.predict(X_test)\n",
    "rmse = (np.sqrt(mean_squared_error(Y_test, y_test_predict)))\n",
    "r2 = r2_score(Y_test, y_test_predict)\n",
    "\n",
    "print(\"The model performance for testing set\")\n",
    "print(\"--------------------------------------\")\n",
    "print('RMSE is {}'.format(rmse))\n",
    "print('R2 score is {}'.format(r2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# --------------------------------------------------------------------------------------------------------"
   ]
  }
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